1 . 设等差数列
的前n项和为
,已知
,则
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4258139894ede54e0a10019a28eda028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2021-09-06更新
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331次组卷
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2卷引用:贵州省威宁民族中学2020-2021学年高一下学期期中考试数学试题
名校
解题方法
2 . 已知等差数列
的通项公式为
,则其前n项和
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dd881c9ed09a652eeb86b22d32dfec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.15 | B.16 | C.17 | D.18 |
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2021-09-06更新
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3卷引用:陕西省咸阳市高新一中2021-2022学年高一下学期第三次阶段性检测数学试题
20-21高二·全国·单元测试
名校
3 . 已知等差数列
的前
项和为
,且
,
.
(1)求数列
的通项公式;
(2)求
取得最小值时
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8146851aecd471353b8ee16bb8adcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0a11dd1b3ee8e45f1f2307e2d66cc4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2021-08-31更新
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327次组卷
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4卷引用:新疆皮山县高级中学2020-2021学年高一下学期期中考试数学试题
新疆皮山县高级中学2020-2021学年高一下学期期中考试数学试题(已下线)第二章+数列(能力提升)-2020-2021学年高二数学单元测试定心卷(人教版必修5)(已下线)第四章++数列1(基础过关)-2020-2021学年高二数学单元测试定心卷(人教A版2019选择性必修第二册)吉林省长春市第七中学2022-2023学年高二上学期期中数学试题
名校
解题方法
4 . 已知
是等差数列,
,
.
(1)求
的通项公式;
(2)求
的前
项和
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bbb67593c95bab93ff67145ae95ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e85b39c5434fefdc035ee0329f2d4e9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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5 . 各项不全为
的等差数列
,前
项和为
.若
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e76d623bf24ea4b9370076ee4a8ca2c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be791021ffea63794559aa573610c630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de58863cdfd23e7aac1d03940ef1c84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e76d623bf24ea4b9370076ee4a8ca2c.png)
您最近一年使用:0次
名校
解题方法
6 . 数列
的前
项和为
,若
,则当
取最小值时
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e224b854e06c2df718954d47c4eaf991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.4或5 | B.5或6 | C.4 | D.5 |
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2021-08-17更新
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635次组卷
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3卷引用:贵州省贵阳市民族中学2020-2021学年高一下学期第一次月考数学试题
贵州省贵阳市民族中学2020-2021学年高一下学期第一次月考数学试题(已下线)4.2.3 等差数列的前n项和(课堂培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)江苏省宿迁市北大附属宿迁实验学校2022-2023学年高二上学期11月期中数学试题
名校
解题方法
7 . 设等差数列
的前项和为
,若
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f849c711ca5d5bc67adb6545abb72886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.![]() | B.![]() | C.36 | D.![]() |
您最近一年使用:0次
9-10高一下·广东广州·期末
解题方法
8 . 已知等差数列
的前
项和为
,
,
.
(1)求数列
的通项公式;
(2)当
为何值时,
取得最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58365ff21052f2f978c11844b002b933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508d9bbced8b2fa9f3d62aab4956cb54.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2021-08-16更新
|
227次组卷
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5卷引用:09-10学年度高一下学期期末广州市七区联考数学试题
(已下线)09-10学年度高一下学期期末广州市七区联考数学试题(已下线)2009—2010学年广州市七区联考高一数学下学期期末监测新疆昌吉教育共同体2020-2021学年高一下学期期中考试数学试题2014-2015学年广东省揭阳市一中高二上学期期中考试理科数学试卷河南省洛阳偃师中成外国语学校2023-2024学年高二上学期12月月考数学试卷
名校
解题方法
9 . 在等差数列
中,
为它的前n项和,若
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
________ 时,
最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de58689feae4edd4cd69ea7c2c883dcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
10 . 已知等差数列
的前
项和为
,且
,
是
与
的等差中项.
(1)求数列
的通项公式;
(2)求数列
的前
项和
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55eda25b019959a02c8aec4e9a8a3a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5676f2615d14aa5eb3a39e6671751ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2021-08-14更新
|
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2卷引用:四川省成都市蓉城名校联盟2020-2021学年高一下学期联考文科数学试题